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115104080 = 24571397163
BaseRepresentation
bin1101101110001…
…01100101010000
322000120220010002
412313011211100
5213431312310
615231025132
72565240260
oct667054520
9260526102
10115104080
1159a78443
123266b1a8
131ab01630
14114037a0
15a189da5
hex6dc5950

115104080 has 160 divisors (see below), whose sum is σ = 334811904. Its totient is φ = 35831808.

The previous prime is 115104053. The next prime is 115104089. The reversal of 115104080 is 80401511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115104089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706079 + ... + 706241.

Almost surely, 2115104080 is an apocalyptic number.

115104080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115104080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167405952).

115104080 is an abundant number, since it is smaller than the sum of its proper divisors (219707824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115104080 is a wasteful number, since it uses less digits than its factorization.

115104080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 115104080 is about 10728.6569522937. The cubic root of 115104080 is about 486.4410747356.

Adding to 115104080 its reverse (80401511), we get a palindrome (195505591).

The spelling of 115104080 in words is "one hundred fifteen million, one hundred four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 97 104 112 130 140 163 182 194 208 260 280 326 364 388 455 485 520 560 652 679 728 776 815 910 970 1040 1141 1261 1304 1358 1456 1552 1630 1820 1940 2119 2282 2522 2608 2716 3260 3395 3640 3880 4238 4564 5044 5432 5705 6305 6520 6790 7280 7760 8476 8827 9128 10088 10595 10864 11410 12610 13040 13580 14833 15811 16952 17654 18256 20176 21190 22820 25220 27160 29666 31622 33904 35308 42380 44135 45640 50440 54320 59332 63244 70616 74165 79055 84760 88270 91280 100880 110677 118664 126488 141232 148330 158110 169520 176540 205543 221354 237328 252976 296660 316220 353080 411086 442708 553385 593320 632440 706160 822172 885416 1027715 1106770 1186640 1264880 1438801 1644344 1770832 2055430 2213540 2877602 3288688 4110860 4427080 5755204 7194005 8221720 8854160 11510408 14388010 16443440 23020816 28776020 57552040 115104080